<h3>
Answer: 1152 </h3>
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Explanation:
6/150 = 0.04 = 4% of the population are albino.
That leaves 100% - 4% = 96% that aren't albino.
96% of 1200 = 0.96*1200 = 1152
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Another way to look at it:
4% of the population are albino, so there are 0.04*1200 = 48 albino tigers.
This means there are 1200-48 = 1152 non-albino tigers.
Answer:
Option (a) is correct.
The smallest coefficient on x - terms will be obtained by addition and multiplication of two given functions.
Step-by-step explanation:
Given: The function and
We have to find the operation from the given options that results in the smallest coefficient on the x term .
Consider the given function and
b) Subtraction
That is f(x) - g(x)
Apply plus - minus rule -(-a) = a , we have,
Here, The coefficient of x is 1.
c) Multiplication
That is
Simplify, we have,
Here, The coefficient of x is -5.
d) Addition
That is f(x) + g(x)
Simplify, we have,
Here, The coefficient of x is -5.
a) two operations result in the same coefficient.
When we add or multiply the two given function, we obtain the same coefficient of x that is -5
Hence, The smallest coefficient on x - terms will be obtained by addition and multiplication of two given functions.
Answer:
x = 114 ur welcome
Step-by-step explanation:
The probability of you being the leadoff hitter is <span>8.3%.</span>
Explanation:
The number of possible rosters can be calculated with permutations, knowing that the coach can choose the first hitter among all 12 players, then the second hitter among the 11 players remaining and so on until the 9th hitter among the remaining 4 players.
Therefore:
Possible rosters = 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 79833600
The leadoff hitter is the first player in the batting order, therefore the number of possible rosters in which you are chosen as the first one is:
You leadoff = 1 <span>× 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 = 6652800
The probability of you being leadoff is:
P</span> = You leadoff / <span>Possible rosters
</span> = 6652800 / 79833600
= 1 / 12
= 0.08333
= 8.3%
Note that this is exactly the probability of you being chosen out of the 12 players of the team in a one-pick choice because it does not matter how the rest of the batting order is composed.
Answer:
We take v in the vector space V different from 0. Since v is not 0, then
Lets take k>0 such that
Now, we take any vector w. We want to show that .
Since v is any non-zero vector, then this will prove that for any vectors a,b. The reason is that for any vector different from 0, lets name it x, there will exist a constant such that for any y (this is for the same reason a constant exists for v). Since y can be anything, then it can be v. But that means that , because v also has its constant k.
Now, lets show that . Lets take a constant c such that . We have that
Thus
Which means that
Which means that . As a consequence
Which proves what we were looking for.